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arxiv: 1509.07325 · v1 · pith:FFC2ASWDnew · submitted 2015-09-24 · 🧮 math.GT · math.AT· math.CO

Semi - Equivelar Maps on the Torus and the Klein Bottle with few vertices

classification 🧮 math.GT math.ATmath.CO
keywords mapsbottlekleinsemi-equivelartorussurfacestypesvertices
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Semi-Equivelar maps are generalizations of maps on the surfaces of Archimedean solids to surfaces other than the $2$-sphere. The well known 11 types of normal tilings of the plane suggest the possible types of semi-equivelar maps on the torus and the Klein bottle. In this article we classify (up to isomorphism) semi-equivelar maps on the torus and the Klein bottle with few vertices.

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